Pith Number

pith:4KN2UGJM

pith:2015:4KN2UGJMXQRLVZZBA5YUQXZAVN

not attested not anchored not stored refs pending

Null-curves in R^{2,n} as flat dynamical systems

A. A. Sharapov, A. M. Latyshev, S. L. Lyakhovich

arxiv:1510.08608 v1 · 2015-10-29 · math-ph · math.MP · math.OC

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{4KN2UGJMXQRLVZZBA5YUQXZAVN}

Prints a linked badge after your title and injects PDF metadata. Compiles on arXiv. Learn more · Embed verified badge

Record completeness

1 Bitcoin timestamp

2 Internet Archive

3 Author claim open · sign in to claim

4 Citations open

5 Replications open

✓ Portable graph bundle live · download bundle · merged state

The bundle contains the canonical record plus signed events. A mirror can host it anywhere and recompute the same current state with the deterministic merge algorithm.

Receipt and verification

First computed	2026-05-18T01:22:18.276381Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e29baa192cbc22bae7210771485f20ab413696cf2a4e63fe0a989019a62c7439

Aliases

arxiv: 1510.08608 · arxiv_version: 1510.08608v1 · doi: 10.48550/arxiv.1510.08608 · pith_short_12: 4KN2UGJMXQRL · pith_short_16: 4KN2UGJMXQRLVZZB · pith_short_8: 4KN2UGJM

Agent API

Resolver JSON Graph JSON Events JSON Schema Signing key

Verify this Pith Number yourself

curl -sH 'Accept: application/ld+json' https://pith.science/pith/4KN2UGJMXQRLVZZBA5YUQXZAVN \
  | jq -c '.canonical_record' \
  | python3 -c "import sys,json,hashlib; b=json.dumps(json.loads(sys.stdin.read()), sort_keys=True, separators=(',',':'), ensure_ascii=False).encode(); print(hashlib.sha256(b).hexdigest())"
# expect: e29baa192cbc22bae7210771485f20ab413696cf2a4e63fe0a989019a62c7439

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "020257a14628569417ba673644856923a1eac14da0b7dfd1f579447d48f91c3e",
    "cross_cats_sorted": [
      "math.MP",
      "math.OC"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2015-10-29T09:00:47Z",
    "title_canon_sha256": "85fbdbd80a3a64f6222c2da383e2722442e438b8613e9063796e3634bfd4c107"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1510.08608",
    "kind": "arxiv",
    "version": 1
  }
}